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Finding the Third Proportional to 840,320 and 1,261,104

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Solution

The third proportional to 840,320 and 1,261,104 is: 1,892,592.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,320 : 1,261,104 = 1,261,104 : x
  2. Step 2: Convert to fraction form
    840,320/1,261,104 = 1,261,104/x
  3. Step 3: Cross multiply
    840,320x = 1,261,104 × 1,261,104
  4. Step 4: Simplify right side
    840,320x = 1,590,383,298,816
  5. Step 5: Solve for x
    x = 1,590,383,298,816/840,320
  6. Step 6: Final answer
    x = 1,892,592.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.